Solve for x
x>-\frac{6}{5}
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x+4-3x+9>5-\left(-2+7x\right)
Use the distributive property to multiply -3 by x-3.
-2x+4+9>5-\left(-2+7x\right)
Combine x and -3x to get -2x.
-2x+13>5-\left(-2+7x\right)
Add 4 and 9 to get 13.
-2x+13>5-\left(-2\right)-7x
To find the opposite of -2+7x, find the opposite of each term.
-2x+13>5+2-7x
The opposite of -2 is 2.
-2x+13>7-7x
Add 5 and 2 to get 7.
-2x+13+7x>7
Add 7x to both sides.
5x+13>7
Combine -2x and 7x to get 5x.
5x>7-13
Subtract 13 from both sides.
5x>-6
Subtract 13 from 7 to get -6.
x>-\frac{6}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}